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What is the Least Common Multiple of 27378 and 27397?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 27378 and 27397 is 750075066.

LCM(27378,27397) = 750075066

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Least Common Multiple of 27378 and 27397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27378 and 27397, than apply into the LCM equation.

GCF(27378,27397) = 1
LCM(27378,27397) = ( 27378 × 27397) / 1
LCM(27378,27397) = 750075066 / 1
LCM(27378,27397) = 750075066

Least Common Multiple (LCM) of 27378 and 27397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27378 and 27397. First we will calculate the prime factors of 27378 and 27397.

Prime Factorization of 27378

Prime factors of 27378 are 2, 3, 13. Prime factorization of 27378 in exponential form is:

27378 = 21 × 34 × 132

Prime Factorization of 27397

Prime factors of 27397 are 27397. Prime factorization of 27397 in exponential form is:

27397 = 273971

Now multiplying the highest exponent prime factors to calculate the LCM of 27378 and 27397.

LCM(27378,27397) = 21 × 34 × 132 × 273971
LCM(27378,27397) = 750075066